## Proof of the Riemann Hypothesis utilizing the

### Riemann Hypothesis in a Nutshell - Vancouver Island …

is an entire function which has as zeros the non-trivial zeros of the zeta function, and is invariant under the transformation . This invariance and the fact that the function is real for real implies that it is also real on the critical line , real. On this line ,

### The Riemann Hypothesis For Dummies @ Things Of …

Lived 1826-1866

He was a German National

He studied at The University of Göttingen and the University of Berlin

His mother died when he was young

Although he was brilliant, he often suffered from anxiety, shyness, and timidity and was also prone to mental breakdowns and was afraid to speak in public Notable achievements: Riemann Sums and Riemann Integrals

He was the inspiration for "Alice's Adventures in Wonderland" and "Through the Looking Glass This function was first recognized by Euler, but Riemann studied it further and used it as the foundation for his hypothesis

Some values of the function have been found; for values of s that are even, pi is involved in the output, but it has not been shown what the output is for values of s that are odd Why Should We Care?

Showing that **|| ** is not a lot of work, though the argument used is a bit technical. An interesting property of the argument is that it relies solely on values of for real. In other words, under the right circumstances, counting the number of zeros of the zeta function in the critical strip to height depends only on its values on the critical line.

## The Riemann hypothesis is a mathematical conjecture

from which values of the zeta function at can be computed from its values at . Using this equation one sees immediately that the zeta function is zero at the negative even integers. Multiplying this equation through by and applying standard factorial identities shows that

## Riemann Hypothesis: Nigerian professor speaks out - …

*Dr Enoch first investigated and then established the claims of Riemann. He went on to consider and to correct the misconceptions that were communicated by mathematicians in the past generations, thus paving way for his solutions and proofs to be established.*

## Generalized Riemann hypothesis - Wikipedia

Rumors are swirling that Opeyemi Enoch, a professor from the Federal University of Oye Ekiti in Nigeria, has solved the Riemann Hypothesis, a problem that has vexed mathematicians for over 150 years. Too bad it’s not true.

## It is a statement about the zeros of the Riemann zeta function

The first term in this last equation is always negative. The second term, denoted , is real and has the same zeros as the zeta function at , real. Thus locating zeros on the critical line of the (complex) zeta function reduces to locating zeros on the real line of the real function . The term in the previous equation may be expressed

## The Riemann Hypothesis For Dummies @ Things Of Interest

*Unfortunately, it looks like in this case it’s not a real proof of the Riemann Hypothesis, and this post on a Nigerian discussion forum says emphatically. As mentioned in that post, there’s under his name, which is actually a copy of a paper by someone called Werner Raab (retired). Raab’s website – is empty, and has a single broken link to “the truth of the Riemann hypothesis”. Some digging reveals that . Confusingly, Enoch seems to be.*